213518705400 has 3024 divisors, whose sum is σ = 1078841496600. Its totient is φ = 38799129600.

The previous prime is 213518705357. The next prime is 213518705401. The reversal of 213518705400 is 4507815312.

213518705400 is a `hidden beast` number, since 2 + 1 + 35 + 1 + 87 + 0 + 540 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213518705401) by changing a digit.

It is a polite number, since it can be written in 755 ways as a sum of consecutive naturals, for example, 11237826591 + ... + 11237826609.

Almost surely, 2^213518705400 is an apocalyptic number.

213518705400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213518705400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539420748300).

213518705400 is an abundant number, since it is smaller than the sum of its proper divisors (865322791200).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

213518705400 is a wasteful number, since it uses less digits than its factorization.

213518705400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 213518705400 in words is "two hundred thirteen billion, five hundred eighteen million, seven hundred five thousand, four hundred".